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4. If the equation of the ellipse is $3 x^{2}+2 y^{2}+6 x-8 y+5$ $=0$, then which of the following is/are true?
a. $e=\frac{1}{\sqrt{3}}$
b. centre is $(-1,2)$
c. foci are $(-1,1)$ and $(-1,3)$
d. directrices are $y=2 \pm \sqrt{3}$ | 1 |
How do you train a magpie? | 0 |
16. A normal is drawn at a point $P(x, y)$ on a curve. It meets the $x$-axis and the $y$-axis at $A$ and $B$ respectively such that $(x \text {-intercept })^{-1}+(y \text {-intercept })^{-1}=1$, where $O$ is origin, and $R$ is the radius of the director circle of the curve passing through $(3,3)$. Find $R / 5$ | 1 |
17. The value of $x$ in $(0, \pi / 2)$ satisfying $\frac{\sqrt{3}-1}{\sin x}+\frac{\sqrt{3}+1}{\cos x}=4 \sqrt{2}$ is
a. $\frac{\pi}{12}$
b. $\frac{5 \pi}{12}$
c. $\frac{7 \pi}{24}$
d. $\frac{11 \pi}{36}$ | 1 |
What is High Education? | 0 |
How can I gain weight naturally? | 0 |
Was Donald Trump a bully as a child? | 0 |
20. A . diol has two hydroxyl groups on . carbon atoms | 1 |
What is "Political access"? | 0 |
How do I get a bank to issue prepaid credit cards for my eWallet company? | 0 |
3. $\frac{1}{x+x \log x}$ | 1 |
Window phone are different from Android phone? | 0 |
11. Choose the aromatic nitrogen heterocycles.
(A) i
(B) ii
(C) iii
(D) i and ii
(E) i, ii and iii | 1 |
44. If $f:(1,2) \rightarrow R$ satisfies the inequality
$L_{0} \frac{\cos (2 x-4)-33}{2}<f(x)<\frac{x^{2}|4 x-8|}{x-2}, \forall x \in(1,2)$, then $\lim _{x \rightarrow 2^{-}} f(x)$ is
a. 16
b. Cannot be determined from the given information
c. -16
d. Does not exist | 1 |
16. In the figure $A B C$ is the cross-section of a right angled prism and $B C D E$ is the cross-section of a glass slab. The value of $\theta$ so that light incident normally on the face $A B$ does not cross the face $B C$ is (Given $\sin ^{-1} 3 / 5=37^{\circ}$ )
 $1: 16$
(b) $1: 4$
(c) $1: 8$
(d) $1: 2$ | 1 |
80. The set of equations $\lambda x-y+(\cos \theta) z=0,3 x+y+2 z=0$, $(\cos \theta) x+y+2 z=0,0 \leq \theta<2 \pi$, has non-trivial solution(s)
a. for no value of $\lambda$ and $\theta$
b. for all values of $\lambda$ and $\theta$
c. for all values of $\lambda$ and only two values of $\theta$
d. for only one value ... | 1 |
What is the purpose of having a recruiter? | 0 |
8. The area of the region bounded by locus of $P$ and line $y=4$ in first quadrant is
a. 2 sq. units
b. 4 sq. units
c. 6 sq. units
d. none of these | 1 |
What can I do to whiten my teeth without a dentist? | 0 |
How can I delete my pics from Google drive? | 0 |
How many people today worship the Greek gods? | 0 |
19. The increasing order of the acidity of the following carboxylic acids is
(a) III $<$ II $<$ IV $<$ I
(b) I $<$ III $<$ II $<$ IV
(c) IV $<$ II $<$ III $<$ I
(d) II $<$ IV $<$ III $<$ I | 1 |
When are these texts first able to reach a large amount of people? | 0 |
5. Seven relatives of a man comprises four ladies and three gentlemen; his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways can they invite 3 ladies and 3 gentlemen at a dinner party so that there are three man's relatives and three wife's relatives?
(IIT-JEE, 1985) | 1 |
43. If the median of $\triangle A B C$ through $A$ is perpendicular to $A B$, then
a. $\tan A+\tan B=0$
b. $2 \tan A+\tan B=0$
c. $\tan A+2 \tan B=0$
d none of these | 1 |
3.344. Two solenoids of equal length and almost equal crosssectional area are fully inserted into one another. Find their mutual inductance if their inductances are equal to $L_{1}$ and $L_{2}$. | 1 |
What is the reason for the BJP not giving the list of people having black money? | 0 |
How has Donald Trump sustained his popularity for so long in the Republican Primary campaign? | 0 |
8. If $y=y(x)$ and $\frac{2+\sin x}{y+1} \frac{d y}{d x}=-\cos x, y(0)=1$, then $y \frac{\pi}{2}$ equals
(a) $1 / 3$
(b) $2 / 3$
(c) $-1 / 3$
(d) 1 | 1 |
How much area, in square miles, does the GHMC oversee? | 0 |
If a mole fraction of glucose in a glucose solution is 0.01, what is the molarity of the solution? | 0 |
What are the signs of a chemical reaction and does the type of chemical used give a different sign? | 0 |
(vii) Potassium tri(oxalato)chromate(III) | 1 |
During what period did Tamil literature thrive? | 0 |
Who states imply that humans are their own Gods? | 0 |
24. In a Young's double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength $600 \mathrm{~nm}$ is used. If the wavelength of light is changed to $400 \mathrm{~nm}$, number of fringes observed in the same segment of the screen is given by
(a) 12
(b) 18
(c) 24... | 1 |
How do you calculate the height and radius of a cylinder if their ratio and the volume are known? | 0 |
8. The equation $\log _{x+1}(x-0.5)=\log _{x-0.5}(x+1)$ has
a. two real solutions
b. no prime solution
c. one integral solution
d. no irrational solution | 1 |
5. The internal energy of an ideal gas decreases by the same amount as the work done by the system.
(a) The process must be adiabatic.
(b) The process must be isothermal.
(c) The process must be isobaric.
(d) The temperature must decrease | 1 |
I am a 23-year-old girl who is about to get married in 4 months. It's an arranged marriage. I have been with him for 5 months already and I am still not in love with my fiancé! In fact, I hate him because of his behaviour. My parents aren't supportive because of society's pressure. What should I do? | 0 |
Why do I get headaches in the heat? | 0 |
What two examples were given of what "postsecondary" or "higher" education? | 0 |
What is your review of Accounts Payable? | 0 |
119. If $p$ is the probability that a man aged $x$ will die in a year, then the probability that out of $n$ men $A_{1}, A_{2}, \ldots, A_{n}$ each aged $x, A$ will die in an year and be the first to die is
a. $1-(1-p)^{\prime \prime}$
b. $(1-p)^{\prime \prime}$
c. $1 / n\left[1-(1-p)^{n}\right]$
d. $1 / n(1-p)^{n}$ | 1 |
10. Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with three vertices is equilateral is
a. $1 / 2$
b. $1 / 5$
c. $1 / 10$
d. $1 / 20$ | 1 |
90. Arrange the following in :
Increasing order of acid strength :
$\mathrm{ClCH}_{2} \mathrm{COOH}$ (I), $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{COOH}$ (II),
$\mathrm{ClCH}_{2} \mathrm{CH}_{2} \mathrm{COOH}$ (III), $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHCOOH}$ (IV),
$\mathrm{CH}_{3} \mathrm{COOH}(\mathrm{V})... | 1 |
Illustration 3.44 Find the vector equation of the following planes in cartesian form:
$$
\vec{r}=\hat{i}-\hat{j}+\lambda(\hat{i}+\hat{j}+\hat{k})+\mu(\hat{i}-2 \hat{j}+3 \hat{k})
$$ | 1 |
What are the best and most complete books for an SBI PO associate, IBPS specialized officer and a syndicate bank PO exam preparation 2014? | 0 |
24. Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at ambient condition is :
(a) $\mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{15} \mathrm{~N}^{+}\left(\mathrm{CH}_{3}\right)_{3} \mathrm{Br}$
(b) $\mathrm{CH}_{3}\left(\mathrm{CH}_{2}\right)_{11} \ma... | 1 |
How would you compare the United States' euthanasia laws to Ireland? | 0 |
What does it mean when my friend and I share the same dream at the same time? | 0 |
36. The range of values of $a$ for which $f(x)=a$ has no real roots is
a. $(4, \infty)$
b. $(10, \infty)$
c. $(20, \infty)$
d. none of these | 1 |
I am a US citizen working as a real estate agent and domiciled in country X. If I take payment for my services by bank transfer to my US account, to whom do I pay taxes: the US government or country X's government? | 0 |
Through what process is it thought that the first architectural achievements were made? | 0 |
(b) $\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_{3}(\mathrm{~g})$ | 1 |
If size of the physical memory is 2^32 - 1, then what is the size of the virtual memory? How to convert physical memory to logical memory? | 0 |
Problem 2.2
The number of electrons, protons and neutrons in a species are equal to 18,16 and 16 respectively. Assign the proper symbol to the species. | 1 |
Quora: Why doesn't Quora have an upvote option for a Question? | 0 |
53. The structure of the enol form of $\mathrm{CH}_{3}-\mathrm{CO}-\mathrm{CH}_{2}-\mathrm{CO}-\mathrm{CH}_{3}$ with intramolecular hydrogen bonding is........... | 1 |
Have you ever taken revenge? How? | 0 |
(i) X , the set of letters in "ALLOY" and B, the set of letters in "LOYAL". | 1 |
Why am i having a full period just 2 weeks after my last one? | 0 |
What are some characteristics of assimilation in sociology? | 0 |
What is the Market Size (Total Revenue) of the Nightlife Industry in Japan? | 0 |
What porn star makes the best porn? | 0 |
15. If $f(x)=\cos ^{2} \theta+\sec ^{2} \theta$, then
a. $f(x)<1$
b. $f(x)=1$
c. $2>f(x)>1$
d $f(x) \geq 2$ | 1 |
12. In the relation, $p=\frac{\alpha}{\beta} e^{-\frac{\alpha Z}{k \theta}}$
$p$ is pressure, $Z$ is distance, $k$ is Boltzmann's constant and $\theta$ is the temperature. The dimensional formula of $\beta$ will be
(a) $\left[\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{0}\right]$
(b) $\left[\mathrm{ML}^{2} \mathrm{~... | 1 |
About what percentage of European men were literate in 1500? | 0 |
What novel concept was introduced at the end of the 20th century? | 0 |
31. A thin metal disc of radius $r$ floats on a liquid surface and bends the surface downwards along the perimeter making an angle $\theta$ with vertical edge of the disc. If the disc displaces a weight of liquid $w$ and surface tension of liquid is $T$, then the weight of metal disc is
(a) $2 \pi r T+w$
(b) $2 \pi r... | 1 |
17. The value of $P-R$ is equal to
a. 1
b. -1
c. $2^{50}$
d. $2^{100}$ | 1 |
2. Two tangents to the hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ having slopes $m_{1}$ and $m_{2}$ cut the axes in four concyclic points. Find the value of $m_{1} m_{2}$. | 1 |
Example 3 Discuss the continuity of the function $f$ given by $f(x)=|x|$ at $x=0$. | 1 |
55. During the qualitative analysis of a mixture containing $\mathrm{Cu}^{2+}$ and $\mathrm{Zn}^{2+}$ ions, $\mathrm{H}_{2} \mathrm{~S}$ gas is passed through an acidified solution containing these ions in order to test $\mathrm{Cu}^{2+}$ alone. Explain briefly. | 1 |
 | 1 |
What are some of the unique things that a tourist can experience in Kerala? | 0 |
20. The resultant amplitude due to superposition of three simple harmonic motions $x_{1}=3 \sin \omega t$, $x_{2}=5 \sin \left(\omega t+37^{\circ}\right)$ and $x_{3}=-15 \cos \omega t$ is
(a) 18
(b) 10
(c) 12
(d) None of these | 1 |
What is the Sahara, and how do the average temperatures there compare to the ones in the Gobi Desert? | 0 |
17. Which one of the following properties is not shown by NO?
(a) It is diamagnetic in gaseous state
(b) It is neutral oxide
(c) It combines with oxygen to form nitrogen dioxide
(d) Its bond order is 2.5 | 1 |
33. Figure (10-E4) shows two blocks of masses $m$ and $M$ connected by a string passing over a pulley. The horizontal table over which the mass $m$ slides is smooth. The pulley has a radius $r$ and moment of inertia $I$ about its axis and it can freely rotate about this axis. Find the acceleration of the mass $M$ assum... | 1 |
14. The value of $\lim _{x \rightarrow \pi} \frac{1+\cos ^{3} x}{\sin ^{2} x}$ is
a. $1 / 3$
b. $2 / 3$
c. $-1 / 4$
d. $3 / 2$ | 1 |
20th century literature reacted to the objectivity of naturalism in the 19th century to what? | 0 |
How can I recover my Google account if my recovery phone is lost? | 0 |
What should I do if I cannot access my Yahoo account? | 0 |
Which are the best anime? | 0 |
Which country has created a system of national parks & preserves? | 0 |
How could I gain weight in a healthy way? | 0 |
When did the reign of Louis the Pious end? | 0 |
When should I use "the" in a sentence? | 0 |
How can I spend weekend in ahmedabad? | 0 |
6. Figure 24-Q1 shows graphs of pressure vs density for an ideal gas at two temperatures $T_{1}$ and $T_{2}$.
(a) $T_{1}>T_{2}$
(b) $T_{1}=T_{2}$
(c) $T_{1}<T_{2}$
(d) Any of the three is possible.
 $\mathrm{B}$ is more polluted than $\mathrm{A}$.
(b) A is suitable for drinking, whereas $B$ is not.
(c) Both A and B are suitable for drinking.
(d) $A$ is more polluted than $B$. | 1 |
What force took control of the company and the situation? | 0 |
20. The correct match between Item-I and Item-II is:
Item-I
Item-II
(drug)
A Chloroxylenol
Carbylamine test
B Norethindrone
Q Sodium
C Sulphapyridine
hydrogen carbonate test
R Ferric chloride test
D Penicillin
S Bayer's test
(a) $\mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rig... | 1 |
3. When two blocks connected by a spring move towards each other under mutual interaction
(a) their velocities are equal
(b) their accelerations are equal
(c) the force acting on them are equal and opposite
(d) All of the above | 1 |
Example 2.105 If the imaginary part of $(2 z+1) /(i z+1)$ is -2 , then find the locus of the point representing in the complex plane. | 1 |
How much does a dental implant cost in Sydney? | 0 |
What should be done to avoid watching porn? | 0 |
What is the future scope of mechanical engineering? | 0 |
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